What is the Greatest Common Factor of 58958 and 58974?

Greatest common factor (GCF) of 58958 and 58974 is 2.

GCF(58958,58974) = 2

We will now calculate the prime factors of 58958 and 58974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58958 and 58974.

How to find the GCF of 58958 and 58974?

We will first find the prime factorization of 58958 and 58974. After we will calculate the factors of 58958 and 58974 and find the biggest common factor number .

Step-1: Prime Factorization of 58958

Prime factors of 58958 are 2, 41, 719. Prime factorization of 58958 in exponential form is:

58958 = 2¹ × 41¹ × 719¹

Step-2: Prime Factorization of 58974

Prime factors of 58974 are 2, 3, 9829. Prime factorization of 58974 in exponential form is:

58974 = 2¹ × 3¹ × 9829¹

Step-3: Factors of 58958

List of positive integer factors of 58958 that divides 58958 without a remainder.

1, 2, 41, 82, 719, 1438, 29479

Step-4: Factors of 58974

List of positive integer factors of 58974 that divides 58958 without a remainder.

1, 2, 3, 6, 9829, 19658, 29487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58958 and 58974. The biggest common factor number is the GCF number.
So the greatest common factor 58958 and 58974 is 2.

Also check out the Least Common Multiple of 58958 and 58974